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Finding the Third Proportional to 754,027 and 1,640,732

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Solution

The third proportional to 754,027 and 1,640,732 is: 3,570,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,027 : 1,640,732 = 1,640,732 : x
  2. Step 2: Convert to fraction form
    754,027/1,640,732 = 1,640,732/x
  3. Step 3: Cross multiply
    754,027x = 1,640,732 × 1,640,732
  4. Step 4: Simplify right side
    754,027x = 2,692,001,495,824
  5. Step 5: Solve for x
    x = 2,692,001,495,824/754,027
  6. Step 6: Final answer
    x = 3,570,165.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.